Special Issue "Algorithmic Game Theory"

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A special issue of Algorithms (ISSN 1999-4893).

Deadline for manuscript submissions: closed (31 May 2010)

Special Issue Editor

Guest Editor
Dr. George Karakostas (Website)

Department of Computing and Software, Faculty of Engineering, McMaster University, 1280 Main St. West, Hamilton, Ontario L8S 4K1, Canada
Fax: +1 905 524 0340
Interests: design and mathematical analysis of algorithms; combinatorial optimization; approximation algorithms; algorithmic game theory; network algorithms

Special Issue Information

Related MDPI Journal: Games

Published Papers (1 paper)

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Research

Open AccessArticle An O(n)-Round Strategy for the Magnus-Derek Game
Algorithms 2010, 3(3), 244-254; doi:10.3390/a3030244
Received: 8 June 2010 / Revised: 6 July 2010 / Accepted: 8 July 2010 / Published: 15 July 2010
Cited by 2 | PDF Full-text (241 KB) | HTML Full-text | XML Full-text
Abstract
We analyze further the Magnus-Derek game, a two-player game played on a round table with n positions. The players jointly control the movement of a token. One player, Magnus, aims to maximize the number of positions visited while minimizing the number of [...] Read more.
We analyze further the Magnus-Derek game, a two-player game played on a round table with n positions. The players jointly control the movement of a token. One player, Magnus, aims to maximize the number of positions visited while minimizing the number of rounds. The other player, Derek, attempts to minimize the number of visited positions. We present a new strategy for Magnus that succeeds in visiting the maximal number of positions in 3(n – 1) rounds, which is the optimal number of rounds up to a constant factor. Full article
(This article belongs to the Special Issue Algorithmic Game Theory)

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